22700

Appears in sequences

• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 1, 1), (1, 0, -1), (1, 0, 0)}.at n=10A148273
• Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4.at n=36A209988
• Number of (w,x,y,z) with all terms in {1,...,n} and w<|x-y|+|y-z|.at n=30A212692
• Number of (w,x,y,z) with all terms in {0,...,n} and w=[R/2], where R=max{w,x,y,z}-min{w,x,y,z} and [ ]=floor.at n=29A212758
• T(n,k)=Number of nXk binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally.at n=47A228754
• Number of 3 X n binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally.at n=7A228755
• Number of (n+2) X (1+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.at n=31A253503
• G.f.: 1/(1 - x*F'(x)/F(x)) where F(x) = Sum_{n>=0} x^n/n!*Product_{k=1..n} (k^2 + 1).at n=6A262001
• Number of 7 X n 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=7A281211
• a(n) = Sum_{d|n} binomial(n,d)*binomial(n,n/d).at n=9A306842